GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
A cylinder has radius 5 and height 8 . What is the largest distance be
[#permalink]
10 Jan 2025, 02:14
10 Jan 2025, 02:14
Expert Reply
00:00
Question Stats:
60% (02:01) correct
40% (01:40) wrong based on 5 sessions
Hide Show timer Statistics
A cylinder has radius 5 and height 8 . What is the largest distance between any two points on the cylinder?
(A) $\(8 \sqrt{2}\)$
(B) $\(8 \sqrt{5}\)$
(C) $\(\sqrt{41}\)$
(D) $\(2 \sqrt{41}\)$
(E) \(13\)
(A) $\(8 \sqrt{2}\)$
(B) $\(8 \sqrt{5}\)$
(C) $\(\sqrt{41}\)$
(D) $\(2 \sqrt{41}\)$
(E) \(13\)
- Part of the project: GRE Quant & Verbal ADVANCED Daily Challenge 2024 Edition - Gain 20 Kudos & Get FREE Access to GRE Prep Club TESTS
- Also replying to the unanswered questions
Re: A cylinder has radius 5 and height 8 . What is the largest distance be
[#permalink]
18 Feb 2025, 04:11
18 Feb 2025, 04:11
Expert Reply
OFFICIAL EXPLANATION
The largest distance between two points on the cylinder is its diagonal's length.
GRE CYLINDER.png [ 30.98 KiB | Viewed 429 times ]
In a cylinder having radius ' $\(r\)$ ' \& height ' $\(h\)$ ' the diagonals length is $\(\sqrt{(2 r)^2+h^2}\)$
So, the diagonal's length of cylinder having radius 5 and height 8 would be $\(\sqrt{(2 \times 5)^2+8^2}=\sqrt{100+64}=\sqrt{164}=2 \sqrt{41}\)$
Hence the answer is (D).
The largest distance between two points on the cylinder is its diagonal's length.
Attachment:
GRE CYLINDER.png [ 30.98 KiB | Viewed 429 times ]
In a cylinder having radius ' $\(r\)$ ' \& height ' $\(h\)$ ' the diagonals length is $\(\sqrt{(2 r)^2+h^2}\)$
So, the diagonal's length of cylinder having radius 5 and height 8 would be $\(\sqrt{(2 \times 5)^2+8^2}=\sqrt{100+64}=\sqrt{164}=2 \sqrt{41}\)$
Hence the answer is (D).
gmatclubot
Re: A cylinder has radius 5 and height 8 . What is the largest distance be [#permalink]
18 Feb 2025, 04:11
Moderators:
